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220201012181 is a prime number
BaseRepresentation
bin1100110100010100000…
…0001100101111010101
3210001101012001102121202
43031011000030233111
512101432424342211
6245054155522245
721623533502153
oct3150500145725
9701335042552
10220201012181
1185428804697
1236814a59385
13179c3546a17
14a92cd703d3
155adbb9953b
hex334500cbd5

220201012181 has 2 divisors, whose sum is σ = 220201012182. Its totient is φ = 220201012180.

The previous prime is 220201012123. The next prime is 220201012201. The reversal of 220201012181 is 181210102022.

It is an a-pointer prime, because the next prime (220201012201) can be obtained adding 220201012181 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126742408081 + 93458604100 = 356009^2 + 305710^2 .

It is a cyclic number.

It is not a de Polignac number, because 220201012181 - 226 = 220133903317 is a prime.

It is a super-2 number, since 2×2202010121812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220201017181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110100506090 + 110100506091.

It is an arithmetic number, because the mean of its divisors is an integer number (110100506091).

Almost surely, 2220201012181 is an apocalyptic number.

It is an amenable number.

220201012181 is a deficient number, since it is larger than the sum of its proper divisors (1).

220201012181 is an equidigital number, since it uses as much as digits as its factorization.

220201012181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 220201012181 in words is "two hundred twenty billion, two hundred one million, twelve thousand, one hundred eighty-one".